Electronic Supplementary Material (ESI) for Physical Chemistry Chemical Physics This journal is © The Owner Societies 2013 Supporting information for Li diffusion through the doped and defected graphene Deya Dasa , Seungchul Kimb , Kwang-Ryeol Leeb , and Abhishek K. Singh∗a a b Materials Research Centre, Indian Institute of Science, Bangalore 560012, India Korea Institute of Science and Technology, Hwarangno 14-gil 5, Seongbuk-gu, Seoul 136-791, Korea 1. NEB overestimates the energy barrier compared to Single point calculation with in 0.5-10 % error range. (a) pristine NEB: 10.07 eV SP: 10.02 eV (b) divacancy NEB: 1.43 eV SP: 1.34 eV 1.5 Energy (eV) Energy (eV) 10 2 5 1 0.5 0 -2 -1 0 1 Distance from graphene (Å) (c) 2.5 3N doped monovacancy NEB: 1.96 ev SP: 1.77 eV 2 -1 0 1 Distance from graphene sheet (Å) 2B doped divacancy (t2) 2 NEB: 1.68 eV SP: 1.54 eV 1.5 1.5 1 1 0.5 0.5 0 (d) Energy (eV) Energy(eV) 2 0 -2 2 0 -2 -1 0 1 Distance from graphene sheet (Å) -1 0 1 Distance from graphene sheet (Å) 2 Figure S1: Comparison between single point calculation and nudged elastic band (NEB) method for (a) pristine graphene, (b) graphene with divacancy, (c) three nitrogen doped monovacancy and (d) two boron doped divacancy (type 2) 1 Electronic Supplementary Material (ESI) for Physical Chemistry Chemical Physics This journal is © The Owner Societies 2013 2. The PDOS peak of Li in the conduction band lies almost in the same position for B doped divacancy. graphene 2 gr-Li total C-2p Density of states (in arb. unit) 0 2 0 2 gr-di-1B Li-2s 0 2 gr-di-1B-Li B-2p 1 0 2 gr-di-2B 1 1 0 2 0 2 gr-di-2B (t2) 1 1 0 0 2 gr-di-3B gr-di-2B-Li gr-di-2B(t2)-Li gr-di-3B-Li 1 0 2 0 2 gr-di-4B 1 0 gr-di-4B-Li 1 -5 0 0 Energy (ev) -5 0 Figure S2: Density of states for pristine and B doped divacancy graphene in the (a) absence and (b) presence of Li In the case of B doping, the PDOS peak of Li shifts to the higher energy value above the Fermi level indicating stronger Li adsorption energy compared to the pristine graphene case. The existence of this peak almost in the same position for all the B doped divacancy cases corresponds to consistently low energy barriers and better adsorption energies. 2